The molality of the solution prepared by dissolving 84.7 g of [tex]KMnO_{4}[/tex] in 165 g of water is 3.25 moles per kg.
We know that,
Molality = Moles of solute/kgs of solvent
It is given that:-
Solute is [tex]KMnO_{4}[/tex]
Amount of solute is 84.7g
Solvent is Water
Amount of solvent is 165g that is 0.165 kg
We know that:-
Number of moles of solute = Mass of substance/Mass of 1 mole
Here,
Mass of 1 mole of solute = 158g
Hence,
Number of moles of solute = 84.7/158 = 0.536 (approximately)
Hence,
Molality of the solution = 0.536/0.165 = 3.25 moles/kg (approximately)
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